Question

The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−3, 2) and goes to Q(1, 2). It continues from Q to R(1, −1) and then to S(8, −1). What is the total length (in units) of the biking trail?

Answer 1

The answer is 14 units

Explanation:

Answer 2

Total length of the biking trail is 14 units

Explanation:

The trail starts from point P(-3, 2) and touches points Q(1, 2), R(1, -1) and S(8, -1).

We have to calculate the total length of the biking trail.

Since distance between two points are represented by

d =
`\sqrt{(x-x')^(2)+(y-y')^(2)}`

So length of PQ =
`\sqrt{(1+3)^(2)+(2-2)^(2)}`

PQ =
`\sqrt{(4)^(2)}`

PQ = 4 units

QR =
`\sqrt{(1-1)^(2)+(2+1)^(2)}`

QR =
`\sqrt{(3)^(2)}`

QR = 3 units

RS =
`\sqrt{(8-1)^(2)+(-1+1)^(2)}`

RS =
`\sqrt{(7)^(2)}`

RS = 7 units

Now total biking trail = PQ + QR + RS

= 4 + 3 + 7

= 14 units

Total length of the biking trail is 14 units